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Finding the Fourth Proportional to 2,368.80, 3,268.08 and 1,374

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Solution

The fourth proportional to 2,368.80, 3,268.08 and 1,374 is: 1,895.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,368.80 : 3,268.08 = 1,374 : x
  2. Step 2: Convert to fraction form
    2,368.80/3,268.08 = 1,374/x
  3. Step 3: Cross multiply
    2,368.80x = 3,268.08 × 1,374
  4. Step 4: Simplify right side
    2,368.80x = 4,490,341.92
  5. Step 5: Solve for x
    x = 4,490,341.92/2,368.80
  6. Step 6: Final answer
    x = 1,895.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.